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Simplifying (6 + -2p) * 5 + -2 = 7p + 3p Reorder the terms for easier multiplication: 5(6 + -2p) + -2 = 7p + 3p (6 * 5 + -2p * 5) + -2 = 7p + 3p (30 + -10p) + -2 = 7p + 3p Reorder the terms: 30 + -2 + -10p = 7p + 3p Combine like terms: 30 + -2 = 28 28 + -10p = 7p + 3p Combine like terms: 7p + 3p = 10p 28 + -10p = 10p Solving 28 + -10p = 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. 28 + -10p + -10p = 10p + -10p Combine like terms: -10p + -10p = -20p 28 + -20p = 10p + -10p Combine like terms: 10p + -10p = 0 28 + -20p = 0 Add '-28' to each side of the equation. 28 + -28 + -20p = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -20p = 0 + -28 -20p = 0 + -28 Combine like terms: 0 + -28 = -28 -20p = -28 Divide each side by '-20'. p = 1.4 Simplifying p = 1.4
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